Home
Class 11
MATHS
In DeltaABC, prove that: sin(A+B/2).co...

In `DeltaABC`, prove that:
`sin(A+B/2).cosB/2=(c+a)/(a+b)cosC/2.cos(A-B)/(2)`

Text Solution

AI Generated Solution

To prove the equation \[ \sin\left(A + \frac{B}{2}\right) \cos\left(\frac{B}{2}\right) = \frac{c + a}{a + b} \cos\left(\frac{C}{2}\right) \cos\left(\frac{A - B}{2}\right), \] we will start with the right-hand side (RHS) and manipulate it to show that it equals the left-hand side (LHS). ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , prove that: (a-b)/c=(sin(A-B)/(2))/(cosC/2)

In DeltaABC , prove that: abc. cosA/2.cosB/2.cosC/2=Deltas

In any DeltaABC , prove that asin(A/2+B)=(b+c)sin""A/2

In DeltaABC , prove that: (b+c)cos(B+C)/(2)=acos(B-C)/(2)

In DeltaABC , prove that: (c-bcosA)/(b-c (cosA))=(cosB)/(cosC)

In DeltaABC , prove that: a(cos^(2)C/2-cos^(2)B/2)=(b-c).cos^(2)A/2

In DeltaABC , prove that: (1+cosA.cos(B-C))/(1+cosC.cos(A-B))=(b^(2)+c^(2))/(a^(2)+b^(2))

In DeltaABC , prove that: b(cosA-cosC)=2(c-a)cos^(2)B/2

In DeltaABC , prove that: (b-c)/acos^(2)A/2+(c-a)/(b)cos^(2)B/2+(a-b)/(c ).cos^(2)C/2=0

In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).